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math.AC2022
Powers of monomial ideals with characteristic-dependent Betti numbers
Davide Bolognini, Antonio Macchia, Francesco Strazzanti +1
We explore the dependence of the Betti numbers of monomial ideals on the characteristic of the field. A first observation is that for a fixed prime either the -th Betti numb…
math.AC2017
Binomial edge ideals of bipartite graphs
Davide Bolognini, Antonio Macchia, Francesco Strazzanti
We classify the bipartite graphs whose binomial edge ideal is Cohen-Macaulay. The connected components of such graphs can be obtained by gluing a finite number of basic b…